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Skewness and non-Gaussian behavior are essential features of the distribution of short-scale velocity increments in isotropic turbulent flows. Yet, although the skewness has been generally linked to time-reversal symmetry breaking and…

Predictions of hydrological models should be probabilistic in nature. Our aim is to introduce a method that estimates directly the uncertainty of hydrological simulations using expectiles, thus complementing previous quantile-based direct…

Applications · Statistics 2022-12-23 Hristos Tyralis , Georgia Papacharalampous , Sina Khatami

Multidimensional scaling visualizes dissimilarities among objects and reduces data dimensionality. While many methods address symmetric proximity data, asymmetric and especially three-way proximity data (capturing relationships across…

Methodology · Statistics 2025-11-21 Aleix Alcacer , Rafael Benitez , Vicente J. Bolos , Irene Epifanio

SketchySGD improves upon existing stochastic gradient methods in machine learning by using randomized low-rank approximations to the subsampled Hessian and by introducing an automated stepsize that works well across a wide range of convex…

Optimization and Control · Mathematics 2024-02-22 Zachary Frangella , Pratik Rathore , Shipu Zhao , Madeleine Udell

We study the necessary and sufficient conditions under which the Mean-Variance Criterion (MVC) is equivalent to the Maximum Expected Utility Criterion (MEUC), for two lotteries. Based on Chamberlain (1983), we conclude that the MVC is…

Portfolio Management · Quantitative Finance 2022-11-08 George Samartzis , Nikitas Pittis

A class of multivariate mixed survival models for continuous and discrete time with a complex covariance structure is introduced in a context of quantitative genetic applications. The methods introduced can be used in many applications in…

Applications · Statistics 2014-05-06 Rafael Pimentel Maia , Per Madsen , Rodrigo Labouriau

Originating from a system theory and an input/output point of view, I introduce a new class of generalized distributions. A parametric nonlinear transformation converts a random variable $X$ into a so-called Lambert $W$ random variable $Y$,…

Applications · Statistics 2015-03-13 Georg M. Goerg

A new family of combined subdivision schemes with one tension parameter is proposed by the interpolatory and approximating subdivision schemes. The displacement vectors between the points of interpolatory and approximating subdivision…

Numerical Analysis · Mathematics 2019-04-30 Rabia Hameed

In recent years, data have become increasingly higher dimensional and, therefore, an increased need has arisen for dimension reduction techniques for clustering. Although such techniques are firmly established in the literature for…

Methodology · Statistics 2019-09-30 Michael P. B. Gallaugher , Paul D. McNicholas

This article extends the multivariate extreme value theory (MEVT) to discrete settings, focusing on the generalized Pareto distribution (GPD) as a foundational tool. The purpose of the study is to enhance the understanding of extreme…

Methodology · Statistics 2025-06-25 Samira Aka , Marie Kratz , Philippe Naveau

In fields such as hydrology and climatology, modelling the entire distribution of positive data is essential, as stakeholders require insights into the full range of values, from low to extreme. Traditional approaches often segment the…

Methodology · Statistics 2025-10-03 Carlo Gaetan , Philippe Naveau

The data of a physical experiment can be represented as a presheaf of probability distributions. A striking feature of quantum theory is that those probability distributions obtained in quantum mechanical experiments do not always admit a…

Category Theory · Mathematics 2022-11-02 Aziz Kharoof , Cihan Okay

The family of stable distributions received extensive applications in many fields of studies since it incorporates both the skewness and heavy tails. In this paper, we introduce a package written in the R language called alphastable. The…

Computation · Statistics 2018-09-26 Mahdi Teimouri , Mahdi Torshizi , Adel Mohammadpour , Saralees Nadarajah

This paper describes an algorithm for fitting finite mixtures of unrestricted Multivariate Skew t (FM-uMST) distributions. The package EMMIX-uskew implements a closed-form expectation-maximization (EM) algorithm for computing the maximum…

Computation · Statistics 2013-03-29 Sharon X. Lee , Geoffrey J. McLachlan

The scenario approach is a general data-driven algorithm to chance-constrained optimization. It seeks the optimal solution that is feasible to a carefully chosen number of scenarios. A crucial step in the scenario approach is to compute the…

Systems and Control · Electrical Eng. & Systems 2020-10-14 Xinbo Geng , Le Xie , M. Sadegh Modarresi

A mixture of common skew-t factor analyzers model is introduced for model-based clustering of high-dimensional data. By assuming common component factor loadings, this model allows clustering to be performed in the presence of a large…

Methodology · Statistics 2014-05-05 Paula M. Murray , Paul D. McNicholas , Ryan P. Browne

Handling missing data is a major challenge in model-based clustering, especially when the data exhibit skewness and heavy tails. We address this by extending the finite mixture of scale mixtures of multivariate skew-normal (FMSMSN) family…

Methodology · Statistics 2025-07-29 Jason Pillay , Cristina Tortora , Antonio Punzo , Andriette Bekker

Up to now, the nonparametric analysis of multidimensional continuous-time Markov processes has focussed strongly on specific model choices, mostly related to symmetry of the semigroup. While this approach allows to study the performance of…

Statistics Theory · Mathematics 2022-11-04 Niklas Dexheimer , Claudia Strauch , Lukas Trottner

The standardized mean difference (SMD) is a widely used measure of effect size, particularly common in psychology, clinical trials, and meta-analysis involving continuous outcomes. Traditionally, under the equal variance assumption, the SMD…

Methodology · Statistics 2025-06-05 Jiandong Shi , Xiaochen Zhang , Lu Lin , Hiu Yee Kwan , Tiejun Tong

This paper proposes a Sieve Simulated Method of Moments (Sieve-SMM) estimator for the parameters and the distribution of the shocks in nonlinear dynamic models where the likelihood and the moments are not tractable. An important concern…

Econometrics · Economics 2023-01-19 Jean-Jacques Forneron
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